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Programme & Unit Catalogues

## MA40197: Advanced mathematical biology

Owning Department/School: Department of Mathematical Sciences
Credits: 6
Level: Masters UG & PG (FHEQ level 7)
Period: Semester 1
Assessment Summary: CW 85%, OR 15%
Assessment Detail:
• Coursework (CW 100%)
Supplementary Assessment: Like-for-like reassessment (where allowed by programme regulations)
Requisites: Before taking this unit you must take MA30047 and take MA30063 or equivalent units from another institution. MA30047 and MA30063 will be available as pre-sessional distance learning material for MSc students.
Students will require skills in MATLAB which they may achieve for example by taking MA50174 concurrently.
Description: Aims:
To study current problems in the biological and life sciences using mathematical modelling techniques.

Learning Outcomes:
After taking this unit, students should be able to:
* Build a mathematical model to address a particular research question in the biological and life sciences;
* Use a range of mathematical techniques to critically analyse the model;
* Interpret and present findings from the modelling in a manner appropriate to the audience;
* Read and summarise a research papers; learn to critically discuss and evaluate their quality as a publication in the field of Mathematical Biology
* Prepare and present a seminar.

Skills:
Modelling biological systems (model formulation, analysis, interpretation, refinement) (T, F, A); Critical analysis of research papers (T, A); Presentation skills (T, F, A).

Content:

* Biological concepts will include a selection from: biological control; contact networks; ecological interactions; epidemiological dynamics; evolutionary theory; populations structured by age, space or other characteristics; transient behaviour; tumour development. Case studies will be used to highlight current research interests.
* Modelling approaches will include a selection from: cellular automata; control systems; dynamical systems; network structures; reaction-diffusion equations; simulation.
* Mathematical techniques will include a selection from: bifurcation theory; bounds and stability; numerical solution (using and adapting MATLAB programs); perturbation theory.
* Research techniques will include a selection from: reading and summarising research papers; preparing and giving seminars; producing and presenting technical posters.
Programme availability:

#### MA40197 is Optional on the following programmes:

Programmes in Natural Sciences
• UXXX-AFM01 : MSci(Hons) Natural Sciences (Year 4)
• UXXX-AKM02 : MSci(Hons) Natural Sciences with Professional Placement (Year 5)
• UXXX-AAM02 : MSci(Hons) Natural Sciences with Study year abroad (Year 5)
Department of Mathematical Sciences

Notes:
* This unit catalogue is applicable for the 2014/15 academic year only. Students continuing their studies into 2015/16 and beyond should not assume that this unit will be available in future years in the format displayed here for 2014/15.
* Programmes and units are subject to change at any time, in accordance with normal University procedures.
* Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.